Complex LMS 1.2 2003/07/11 11:29:32 GMT-5 2004/05/19 15:01:24.124 GMT-5 Douglas L. Jones dl-jones@uiuc.edu Kyle Clarkson kclarks@rice.edu Douglas L. Jones dl-jones@uiuc.edu LMS for complex data and coefficients (such as quadrature communication systems) takes the form y k W k H X k e k d k y k W k + 1 W k 2 μ e k * X k It is derived in exactly the same way as LMS, using the following complex vector differentiation formulas W P H W 0 W W H P 2 P W W H R W 2 R W or by differentiating with respect to the real and imaginary parts separately and recombining the results.